| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 2.5.4.20a1.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$20$ |
$C_5\times S_4$ (as 20T34) |
not computed |
not computed |
$[\frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x + 2$ |
$[1, 1, 0]$ |
$[1]$ |
$z + t^4$ |
$[1, 2, 5]$ |
| 2.5.4.20a2.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$20$ |
$C_2^8.(C_5\times S_4)$ (as 20T563) |
not computed |
not computed |
$[\frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t x + 2$ |
$[1, 1, 0]$ |
$[1]$ |
$z + (t^2 + 1)$ |
$[1, 2, 5]$ |
| 2.5.4.20a3.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$20$ |
$C_2^8.(C_5\times S_3)$ (as 20T374) |
not computed |
not computed |
$[\frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t + 2\right) x + 2$ |
$[1, 1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t)$ |
$[1, 2, 5]$ |
| 2.5.4.20a4.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$20$ |
$C_2^8.(C_5\times S_4)$ (as 20T563) |
not computed |
not computed |
$[\frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3}\right) x + 2$ |
$[1, 1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 2, 5]$ |
| 2.5.4.20a5.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$20$ |
$C_2^8.(C_5\times S_3)$ (as 20T374) |
not computed |
not computed |
$[\frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2 t\right) x + 2$ |
$[1, 1, 0]$ |
$[1]$ |
$z + (t^4 + t^2)$ |
$[1, 2, 5]$ |
| 2.5.4.20a6.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$20$ |
$C_2^8.(C_5\times S_3)$ (as 20T374) |
not computed |
not computed |
$[\frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{2} + 2 t\right) x + 2$ |
$[1, 1, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 2, 5]$ |
| 2.5.4.20a7.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x + 2$ |
$[1, 1, 0]$ |
$[1]$ |
$z + (t^2 + t)$ |
$[1, 2, 5]$ |
| 2.5.4.30a1.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + t)$ |
$[1, 3, 6]$ |
| 2.5.4.30a1.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{3} + 6$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + t)$ |
$[1, 3, 8]$ |
| 2.5.4.30a2.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t^{4} x^{3} + 6$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a2.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a3.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2}\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a3.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 4 x^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8.C_{20}$ (as 20T333) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{2} + 2\right) x^{3} + 4 t^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a4.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3}\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a4.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3}\right) x^{3} + 6$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a5.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a5.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{3} + 4 x^{4} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t + 2\right) x^{3} + 4 t^{2} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a6.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a6.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8.C_{20}$ (as 20T333) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2\right) x^{3} + 4 t + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a7.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{3} + 6$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a7.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a8.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_5\times A_4$ (as 20T14) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[3]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^3 + t^2 + t)$ |
$[1, 2, 7]$ |
| 2.5.4.30a9.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8.C_{20}$ (as 20T333) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t^{2} x^{3} + 2 x^{2} + 4 t + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 2, 7]$ |
| 2.5.4.30a9.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 4 x^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 2, 7]$ |
| 2.5.4.30a10.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{2} + 2\right) x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a10.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^5:C_{10}$ (as 20T74) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2\right) x^{3} + 2 x^{2} + 4 t^{2} + 2$ |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a10.3 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t\right) x^{3} + 2 x^{2} + 6$ |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a10.4 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 4 x + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t\right) x^{3} + 2 x^{2} + 4 t + 6$ |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a11.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^4:F_{16}$ (as 20T286) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{2} + 2\right) x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[3]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^3 + t^2 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a12.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2 t\right) x^{3} + 2 x^{2} + 6$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a12.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2 t\right) x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a13.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^2:F_{16}$ (as 20T171) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{2} + 2 t\right) x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[3]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^2 + t)$ |
$[1, 2, 7]$ |
| 2.5.4.30a14.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8.C_{20}$ (as 20T333) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t\right) x^{3} + 2 x^{2} + 4 t + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^3 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a14.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^9.C_{10}$ (as 20T329) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^3 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a15.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}:C_{15}$ (as 20T469) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{3} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[3]$ |
$z^3 + (t^4 + t^3 + t) z + (t^3 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a16.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^9.C_{10}$ (as 20T329) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a16.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8.C_{20}$ (as 20T333) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + 4 t + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a17.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2}\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + 6$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a17.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t + 2\right) x^{3} + 2 t x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a18.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t^{4} x^{3} + 2 t^{2} x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a18.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t^{4} x^{3} + 2 t^{2} x^{2} + 6$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a19.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^4:F_{16}$ (as 20T286) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2}\right) x^{3} + 2 t^{4} x^{2} + 2$ |
$[3, 2, 0]$ |
$[3]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a20.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + 1$ |
$[1, 3, 7]$ |
| 2.5.4.30a20.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
not computed |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{2}\right) x^{3} + 2 t^{2} x^{2} + 4 t^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + 1$ |
$[1, 3, 7]$ |
| 2.5.4.30a21.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}:C_{15}$ (as 20T469) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{2} + 2 t + 2\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[3]$ |
$z^3 + (t^4 + t^3 + t) z + (t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a22.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t + 2\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a22.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + 6$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a23.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2\right) x^{3} + 2 t x^{2} + 6$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a23.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^{10}.C_{10}$ (as 20T427) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a24.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^5:C_{10}$ (as 20T72) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t\right) x^{3} + 2 t^{4} x^{2} + 4 t^{2} + 6$ |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t + 1)$ |
$[1, 3, 7]$ |
